Two billiard balls each of mass 0.05kg moving in opposite direction with speed of 6m/s collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?
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Answer:
Mass of each ball = 0.05 kg Initial velocity of each ball = 6 m/s
Magnitude of the initial momentum of each ball, pi = 0.3 kg m/s
After collision, the balls change their directions of motion without changing the magnitudes of their velocity.
Final momentum of each ball, pf = –0.3 kg m/s
Impulse imparted to each ball = Change in the momentum of the system = pf – pi
= –0.3 – 0.3 = –0.6 kg m/s
The negative sign indicates that the impulses imparted to the balls are opposite in direction.
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